Vol. 228, No. 1, 2006

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Geir Arne Hjelle & Artur Nicolau

Abstract

We show that the modulus of an inner function can be uniformly approximated in the unit disk by the modulus of an interpolating Blaschke product.

Keywords

interpolating Blaschke product, Carleson contour, discretization, inner function, modulus

Mathematical Subject Classification

Primary: 30D50, 30E10

Authors
Geir Arne Hjelle
Department of Mathematical Sciences
Norwegian University of Science and Technology
7491 Trondheim
Norway
Artur Nicolau
Departament de Matemàtiques
Universitat Autònoma de Barcelona
08193 Bellaterra, Barcelona
Spain